No Topological-Physics Sources Found; Only Fibonacci and Icosahedral Constants Supported — E8 Intelligence Research

FINDING: Search returned no primary topological-physics sources; results are popular-math videos on icosahedral simplicity, Fibonacci extension, and fractals — the Jones-polynomial/pentagon-equation thread is absent. | MATH: Only two hard constants are actually supported by the retrieved items: (1) the analytic Fibonacci continuation F(x) = (φ^x − cos(πx)·φ^(−x))/√5, giving F(π) = 2.1170…, where φ = (1+√5)/2 = 1.6180339887…; (2) icosahedral rotation group I ≅ A₅, order 60 = |A₅|, with conjugacy classes of sizes 1, 12, 12, 15, 20 (elements of orders 1, 5, 5, 2, 3). | CONNECTION: A₅ ≅ PSL(2,5) is the symmetry group of the icosahedron and the smallest non-abelian simple group; its order 60 and class structure are the same 60-fold structure that underlies the H₃/H₄ Coxeter root systems and the golden-ratio coordinates of the icosahedron (vertices ∝ (0, ±1, ±φ)). The Jones polynomial at q = e^{2πi/5} is a root of unity of order 5 — the same order-5 element appearing in A₅'s 5-cycle classes Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com